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Finding the Third Proportional to 81,416 and 121,968

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Solution

The third proportional to 81,416 and 121,968 is: 182,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,416 : 121,968 = 121,968 : x
  2. Step 2: Convert to fraction form
    81,416/121,968 = 121,968/x
  3. Step 3: Cross multiply
    81,416x = 121,968 × 121,968
  4. Step 4: Simplify right side
    81,416x = 14,876,193,024
  5. Step 5: Solve for x
    x = 14,876,193,024/81,416
  6. Step 6: Final answer
    x = 182,718.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.